Atkin-Lehner |
2+ 3- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550u |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
3010560 |
Modular degree for the optimal curve |
Δ |
2.3499509188013E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2563851,-1563015242] |
[a1,a2,a3,a4,a6] |
Generators |
[4958:325557:1] [-964:4077:1] |
Generators of the group modulo torsion |
j |
74552430527558538660625/939980367520520832 |
j-invariant |
L |
8.9557899279054 |
L(r)(E,1)/r! |
Ω |
0.1194008934919 |
Real period |
R |
0.53575753233224 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77550bs1 |
Quadratic twists by: 5 |